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Finding the Fourth Proportional to 451,639.80, 677,459.70 and 152,020.80

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Solution

The fourth proportional to 451,639.80, 677,459.70 and 152,020.80 is: 228,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,639.80 : 677,459.70 = 152,020.80 : x
  2. Step 2: Convert to fraction form
    451,639.80/677,459.70 = 152,020.80/x
  3. Step 3: Cross multiply
    451,639.80x = 677,459.70 × 152,020.80
  4. Step 4: Simplify right side
    451,639.80x = 102,987,965,561.76
  5. Step 5: Solve for x
    x = 102,987,965,561.76/451,639.80
  6. Step 6: Final answer
    x = 228,031.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.